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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 6, Pages 1319–1327 (Mi smj2051)  
This article is cited in 1 scientific paper (total in 1 paper)

Lattices of partially local fitting classes

E. N. Zalesskaya, N. N. Vorob'ev

Vitebsk State University, Vitebsk, Belarus
Full-text PDF (334 kB) Citations (1)
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Abstract: This article deals only with finite groups. We prove the surjectivity of the mapping from the lattice of all normal Fitting classes into the lattice of the Lockett section generated by the Fitting classes that are not Lockett classes. Moreover, we find a sufficient surjectivity condition for the mapping of the lattice of the Lockett section generated by arbitrary Fitting classes into the lattice of the Lockett section generated by $\omega$-local Fitting classes. This confirms Lockett's conjecture for the $\omega$-local Fitting classes of a given characteristic.
Keywords: lattice of Fitting classes, $\omega$-local Fitting class, Lockett class, Lockett section, Lockett's conjecture.
Received: 11.03.2008
Revised: 28.02.2009
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 6, Pages 1038–1044
DOI: https://doi.org/10.1007/s11202-009-0114-4
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: E. N. Zalesskaya, N. N. Vorob'ev, “Lattices of partially local fitting classes”, Sibirsk. Mat. Zh., 50:6 (2009), 1319–1327; Siberian Math. J., 50:6 (2009), 1038–1044
Citation in format AMSBIB
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\by E.~N.~Zalesskaya, N.~N.~Vorob'ev
\paper Lattices of partially local fitting classes
\jour Sibirsk. Mat. Zh.
\yr 2009
\vol 50
\issue 6
\pages 1319--1327
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2603872}
\transl
\jour Siberian Math. J.
\yr 2009
\vol 50
\issue 6
\pages 1038--1044
\crossref{https://doi.org/10.1007/s11202-009-0114-4}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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